Attenuated tensor tomography on simple surfaces

Abstract

In this paper we consider the geodesic X-ray transform with attenuation coefficient as a combination of smooth complex function and 1-form. We show that attenuated X-ray transform applied to the pair of tensors is injective modulo the natural obstruction.

This note has been withdrawn since the main result follows from Remark 7.5 in the paper of G. Ainsworth, "The Attenuated Magnetic Ray Transform on Surfaces" (Inverse Problems and Imaging, 2013), see arXiv:1205.2392

References in corpus (2)

• Inverse problems for the anisotropic Maxwell equations
• Tensor tomography on surfaces